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Finding the Fourth Proportional to 1,238.36, 1,857.06 and 580.14

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Solution

The fourth proportional to 1,238.36, 1,857.06 and 580.14 is: 869.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,238.36 : 1,857.06 = 580.14 : x
  2. Step 2: Convert to fraction form
    1,238.36/1,857.06 = 580.14/x
  3. Step 3: Cross multiply
    1,238.36x = 1,857.06 × 580.14
  4. Step 4: Simplify right side
    1,238.36x = 1,077,354.79
  5. Step 5: Solve for x
    x = 1,077,354.79/1,238.36
  6. Step 6: Final answer
    x = 869.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.